101460068640 has 960 divisors, whose sum is σ = 432761978880. Its totient is φ = 21894727680.

The previous prime is 101460068639. The next prime is 101460068669. The reversal of 101460068640 is 46860064101.

101460068640 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 0 + 0 + 6 + 8 + 640 = 666.

It is a super-3 number, since 3×101460068640³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101460068595 and 101460068604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120929341 + ... + 120930179.

It is an arithmetic number, because the mean of its divisors is an integer number (450793728).

Almost surely, 2^101460068640 is an apocalyptic number.

101460068640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101460068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216380989440).

101460068640 is an abundant number, since it is smaller than the sum of its proper divisors (331301910240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101460068640 is a wasteful number, since it uses less digits than its factorization.

101460068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 101460068640 in words is "one hundred one billion, four hundred sixty million, sixty-eight thousand, six hundred forty".